On some geometric properties and applications of conformal rational transformations in a plane (1912)
Renich, Mary Emma · leaf 74
= 0. From this we have m, the slope of the tangents, equal to + 1;that is, the product of the slopes is - 1. Hence the branchesof the curve through the multiple point, x = V$ + 1, y = 0, inthe 2- plane, intersect at right angles, Pig. XII. I1 I XI … Pig. XII. Transforming the line z1 = 3 - 2 V 3, by the samemethod, we find that the branches of the resulting curve inter-sect orthognally at the multiple point x = 1 - V 3, y = 0.These results ver ify the theory of art. VII, which states thatconsecutive branches through the multiple point form…
